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Finding the Fourth Proportional to 123.86, 185.65 and 42.66

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Solution

The fourth proportional to 123.86, 185.65 and 42.66 is: 63.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 185.65 = 42.66 : x
  2. Step 2: Convert to fraction form
    123.86/185.65 = 42.66/x
  3. Step 3: Cross multiply
    123.86x = 185.65 × 42.66
  4. Step 4: Simplify right side
    123.86x = 7,919.72
  5. Step 5: Solve for x
    x = 7,919.72/123.86
  6. Step 6: Final answer
    x = 63.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.